You are to design for a small pension fund a bond portfolio to fund a $10 million obligation due in 4 years. The fund managers would like to use a 2-year zero along with an 8-year zero to fund the obligation. Currently, the yield curve is flat at around 5% for all maturities. a. Design a bond portfolio that will protect the pension fund from fluctuations in interest rates. Suppose that immediately after you set up the portfolio, the yield curve shifts to 6% at all maturities. d. What are the individual present values needed to fund the pension obligantion for the 8-year zero as well as 2-year zero after the 1% increase in yield?